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3 years ago

F

Mathematics

2 answers:

Masja [62]3 years ago

5 0

Step-by-step explanation:

P varies to d²

F=K/d²

where K is the constant

6=k/6²

6=k/36

K= 216

we write the equation

F=k/d²

we substitute

F=216/3²

F=216/9

F= 24

ivolga24 [154]3 years ago

3 0

Answer:

F = 24

Step-by-step explanation:

Given that F is inversely proportional to d² then the equation relating them is

F= $\frac{k}{d^2}$ ← k is the constant of proportion

To find k use the condition F = 6 when d = 6 , then

6 = $\frac{k}{6^2}$ = $\frac{k}{36}$ ( multiply both sides by 36 )

216 = k

F = $\frac{216}{d^2}$ ← equation of proportion

When d = 3 , then

F = $\frac{216}{3^2}$ = $\frac{216}{9}$ = 24

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What is the sum of series is numbers 64&66 ? Using the summation notation

iragen [17]

Answer:

64. 6138

66. 8.078125

Step-by-step explanation:

Let's take it one number at a time.

For number 64:

$6(2)^{1-1}=6$

$6(2)^{2-1}=12$

$6(2)^{3-1}=24$

$6(2)^{4-1}=48$

$6(2)^{5-1}=96$

$6(2)^{6-1}=192$

$6(2)^{7-1}=384$

$6(2)^{8-1}=768$

$6(2)^{9-1}=1536$

$6(2)^{10-1}=3072$

Sum = 6 + 12 + 24 + 48 + 96 + 192 + 384 + 768 + 1536 + 3072

Sum = 6138

For number 66:

$12(-\frac{1}{2})^{0}=12$

$12(-\frac{1}{2})^{1}=-6$

$12(-\frac{1}{2})^{2}=3$

$12(-\frac{1}{2})^{3}=-1.5$

$12(-\frac{1}{2})^{4}=0.75$

$12(-\frac{1}{2})^{5}=-0.375$

$12(-\frac{1}{2})^{6}=0.1875$

$12(-\frac{1}{2})^{7}=-0.0078125$

$12(-\frac{1}{2})^{8}=0.046875$

$12(-\frac{1}{2})^{9}=-0.0234375$

Sum = 12 + -6 + 3 + -1.5 + 0.75 + -0.375 + 0.1875 + -0.0078125 + 0.046875 + -0.0234375

or to make things simpler:

Sum = 12 - 6 + 3 - 1.5 + 0.75 - 0.375 + 0.1875 - 0.0078125 + 0.046875 - 0.0234375

Sum = 8.078125

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3 years ago

Pat's income is 20 % more than Adam. How much percent is Adam's income less than Pat's?

pantera1 [17]

Answer: 20%

Step-by-step explanation: The same number applies here. Think about it this way, let's say you have a friend named Sofia and she has 3 dollars more than you, how many dollars do you have less than Sofia? 3 dollars. That's the easiest way I can explain it.

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3 years ago

3/4 pages in 2 minutes how many pages in 1 minute

shutvik [7]

Answer:

2 pages

Step-by-step explanation:

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3 years ago

Read 2 more answers

Please help me! What is the simplest form for 21 /63 ?

creativ13 [48]

Answer:

1/3

Step-by-step explanation:

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3 years ago

Bill spent 70 on fertilizer and weed killer for his lawn .Each pound of fertilizer cost 50 cents and each once of weed killer co

meriva

An equation that correctly represent this relationship if x represents the number of pounds of fertilizer and y the number of ounces of weed killer is 0.5x + 3.5y = 70

Solution:

Given that, Bill spent 70 on fertilizer and weed killer for his lawn

Each pound of fertilizer cost 50 cents and each once of weed killer cost 3.50

We have to write an equation, if x represents the number of pounds of fertilizer and y the number of ounces of weed killer.

Now, total amount = amount for fertilizers + amount for weed killers.

Total amount = number of pounds of fertilizers x cost per pound + number of ounces of weed killer x cost per ounce.

$\begin{array}{l}{\rightarrow 70=x \times 0.50+y \times 3.50} \\\\ {\rightarrow 0.5 x+3.5 y=70}\end{array}$

Hence, the equation is 0.5x + 3.5y = 70

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2 years ago